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16130048 = 21311179
BaseRepresentation
bin111101100010…
…000000000000
31010100111021012
4331202000000
513112130143
61333420052
7254050244
oct75420000
933314235
1016130048
119117820
12549a628
133459b0c
1421dc424
151639418
hexf62000

16130048 has 56 divisors (see below), whose sum is σ = 35387280. Its totient is φ = 7290880.

The previous prime is 16130041. The next prime is 16130057. The reversal of 16130048 is 84003161.

It is a nialpdrome in base 8 and base 16.

It is not an unprimeable number, because it can be changed into a prime (16130041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 90023 + ... + 90201.

Almost surely, 216130048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16130048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17693640).

16130048 is an abundant number, since it is smaller than the sum of its proper divisors (19257232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16130048 is an equidigital number, since it uses as much as digits as its factorization.

16130048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 16130048 is about 4016.2231013727. The cubic root of 16130048 is about 252.6650778191.

The spelling of 16130048 in words is "sixteen million, one hundred thirty thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 179 256 352 358 512 704 716 1024 1408 1432 1969 2048 2816 2864 3938 4096 5632 5728 7876 8192 11264 11456 15752 22528 22912 31504 45056 45824 63008 90112 91648 126016 183296 252032 366592 504064 733184 1008128 1466368 2016256 4032512 8065024 16130048